一个扇形的周长是16,面积是12,求它的圆心角大小.
更新时间:2021-03-23 18:52:16
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【推荐1】已知扇形的圆心角是
,半径为
,弧长为
.
(1)若
,求扇形的弧长
和面积
;
(2)若扇形的周长为20,当扇形的圆心角
为多少弧度时,这个扇形的面积最大?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/543959f47dc6538f8a24c165d385a68c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(2)若扇形的周长为20,当扇形的圆心角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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【推荐2】如图,已知扇形
的圆心角为120°,半径长为6.求:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/f27043ac-2576-4818-ad06-0e062006c602.png?resizew=141)
(1)
的长l;
(2)
与弦
所成的弓形的面积S.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/f27043ac-2576-4818-ad06-0e062006c602.png?resizew=141)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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【推荐1】已知一扇形的圆心角是
,所在圆的半径是R.
(1)若
,
,求扇形的弧长及该弧长所在的弓形面积;
(2)若扇形的周长是30cm,当
为多少弧度时,该扇形有最大面积?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a1486450f300f451e711d2238eaca1a.png)
(1)若
![](https://img.xkw.com/dksih/QBM/2019/5/17/2205528617205760/2205666585911296/STEM/8c67cf4a4d2145d3aaa2f8599826833e.png?resizew=54)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1cf5f77754c603e1b1cb1927db4952.png)
(2)若扇形的周长是30cm,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a1486450f300f451e711d2238eaca1a.png)
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【推荐2】一个半径大于2的扇形,其周长
,面积
,求这个扇形的半径r 和圆心角
的弧度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c72bd2d81cbc0db354f9ad9f0792a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78ee88e5c5542a9ca51883e7d6a624dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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